a. Find the probability that the device A functions but the device B does not. b. Find the probability that the device A or the device B or both function. c. Find the probability that the circuit operates. d. It is known that the circuit is operating, find the probability that device A is functional. ACBDAn electrical system consists of four components illustrated in the figure.The circuit operates if and only if there is a path of functional devices fromleft to right. Let A, B, C and D represent the events that thecorresponding devices function and the probabilities are given byP(A) = 0.95, P(B) = 0.9, P(C) = 0.9, P(D) = 0.85.Assume that the devices function independently.

NOTE- AS PER POLICY I HAVE CALCULATED FIRST 3 SUBPARTS AND C PARTS ARE IN 4TH AND 5TH STEPS HERE…

Math

Probability

a. Find the probability that the device A functions but the device B does not. b. Find the probability that the device A or the device B or both function. c. Find the probability that the circuit operates.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

a. Find the probability that the device A functions but the device B does not.
b. Find the probability that the device A or the device B or both function.
c. Find the probability that the circuit operates.
d. It is known that the circuit is operating, find the probability that device A is functional.

A
C
B
D
An electrical system consists of four components illustrated in the figure.
The circuit operates if and only if there is a path of functional devices from
left to right. Let A, B, C and D represent the events that the
corresponding devices function and the probabilities are given by
P(A) = 0.95, P(B) = 0.9, P(C) = 0.9, P(D) = 0.85.
Assume that the devices function independently.

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